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Finding the Fourth Proportional to 296, 408.40 and 197.92

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Solution

The fourth proportional to 296, 408.40 and 197.92 is: 273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296 : 408.40 = 197.92 : x
  2. Step 2: Convert to fraction form
    296/408.40 = 197.92/x
  3. Step 3: Cross multiply
    296x = 408.40 × 197.92
  4. Step 4: Simplify right side
    296x = 80,830.53
  5. Step 5: Solve for x
    x = 80,830.53/296
  6. Step 6: Final answer
    x = 273.08

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